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Finding the Fourth Proportional to 501,182.19, 691,662.92 and 274,827.69

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Solution

The fourth proportional to 501,182.19, 691,662.92 and 274,827.69 is: 379,279.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,182.19 : 691,662.92 = 274,827.69 : x
  2. Step 2: Convert to fraction form
    501,182.19/691,662.92 = 274,827.69/x
  3. Step 3: Cross multiply
    501,182.19x = 691,662.92 × 274,827.69
  4. Step 4: Simplify right side
    501,182.19x = 190,088,122,562.26
  5. Step 5: Solve for x
    x = 190,088,122,562.26/501,182.19
  6. Step 6: Final answer
    x = 379,279.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.